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January 2018 Representations of quantized coordinate algebras via PBW-type elements
Hironori Oya
Osaka J. Math. 55(1): 71-115 (January 2018).

Abstract

Inspired by the work of Kuniba-Okado-Yamada, we study some tensor product representations of quantized coordinate algebras of symmetrizable Kac-Moody Lie algebras in terms of quantized enveloping algebras. As a consequence, we describe structures and properties of certain reducible representations of quantized coordinate algebras. This paper includes alternative proofs of Soibelman's tensor product theorem and Kuniba-Okado-Yamada's common structure theorem based on our direct calculation method using global bases.

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Hironori Oya. "Representations of quantized coordinate algebras via PBW-type elements." Osaka J. Math. 55 (1) 71 - 115, January 2018.

Information

Published: January 2018
First available in Project Euclid: 11 January 2018

zbMATH: 06848744
MathSciNet: MR3744976

Subjects:
Primary: 20G42
Secondary: 17B37

Rights: Copyright © 2018 Osaka University and Osaka City University, Departments of Mathematics

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Vol.55 • No. 1 • January 2018
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